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Elan Coil [88]
3 years ago
7

The graph of an absolute value function has a vertex of (2,3) and crosses the x-axis at (−1,0) and (5,0). What is the equation f

or this absolute value function when y=0? A 0=|x+2|+3 B 0=|x−2|+3 C 0=−|x+2|+3 D 0=−|x−2|+3
Mathematics
2 answers:
frez [133]3 years ago
4 0

Answer:

Option D.

Step-by-step explanation:

The vertex form of an absolute function is

y=a|x-h|+k

where, a is a constant, (h,k) is vertex.

It is given that, vertex of an absolute function is (2,3). So, h=2 and k=3.

y=a|x-2|+3   ...(1)

It crosses the x-axis at (5,0). So put x=5 and y=0 to find the value of a.

0=a|5-2|+3

-3=3a

-1=a

Put a=-1 in (1).

y=(-1)|x-2|+3

y=-|x-2|+3

Now, put y=0, to find the equation for this absolute value function when y=0.

0=-|x-2|+3

Therefore, the correct option is D.

kogti [31]3 years ago
3 0

Answer:

I got this question on my test and I answered D cause if you look up the graph it matches the question

Step-by-step explanation:

D 0=−|x−2|+3

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